Settlement Analysis of Pavement under Traffic Load with Consideration of Horizontal Frictional Effect

ZHANG Ling,OU Qiang,ZHAO Minghua


To analyze the settlement of bearing structure of the cement concrete pavement of highway under traffic loads, pavement structure was regarded as a viscoelastic foundation beam. The interfacial friction effect between the foundation beam and soil below was introduced into the Kelvin foundation beam model. Based on the Kelvin model and taking the interfacial friction forces into consideration, an analytical solution of settlement for the viscoelastic foundation beam under traffic load was proposed by using trigonometric series, Laplace - Fourier transform and inverse transformation. Influence parameter study was presented to quantify the effects of various factors, such as the interfacial friction of subgrade and pavement, velocity of moving load, pavement structure stiffness, the coefficient of vertical soil reaction and viscous damping of subgrade. The results show that the settlement of pavement increases with the decrease of moving load speed,deformation decreases with the increase of viscous damping or subgrade stiffness, and deformation decreases with the increase of pavement stiffness or height of pavement structure. Meanwhile, the wave phenomenon of pavement decreases with the increase of the pavement structure stiffness.



Keywords:  traffic load,  horizontal frictional behavior,  integral transforms,  Kelvin model,  foundation beam

Full Text:



YANG C Y,KOU D T,CHENG L,et al. Fourier series solution for elastic foundation beams under symmetric loads [J] . Journal of Hunan University(Natural Sciences),2018,45(3):136—141.(In Chinese)

ZHUANG Y,WANG M,WANG K Y. Study on shakedown analysis method of elastic-plastic structures under moving loads structures and its application [J] . Journal of Hunan University(Natural Sciences),2018,45(7):93—102.(In Chinese)

KENNY J T. Steady-state vibration of beam on elastic foundation for moving load [J] . Journal of Applied Mechanics,1954,21:359—364.

FRYBA L. Vibration of solids and structures under moving loads [M] . London:Thomas Telford,1999:124—126.

BEN-HAIM Y,FRYBA L,YOSHIKAWA N. Robust reliability of dynamically loaded beam on an uncertain foundation [C] // Kumar B,Topping,BHV. Computing Developments in Civil and Structural Engineering. 7th International Conference on Civil and Structural Engineering. Oxford:Civil Computer Press,1999:71—75.

YAU J D,FRYBA L. A quasi-vehicle/bridge interaction model for high speed railways [J] . Journal of Mechanics,2014,31(2):217—225.

YAU J D,FRYBA L. Interaction dynamics of a high-speed trainmoving on multi-span railway bridges with support settlements [C] //Sas P,Moens D,Denayer H. Proceedings of International Conference on Noise and Vibration Engineering(ISMA2014)and International Conference on Uncertainty in Structural Dynamics (USD2014);International Conference on Noise and Vibration Engineering (ISMA). Leuven:Katholieke University of Lauven, 2014:955—963.

SUN L A closed-form solution of beam on viscoelastic subgrade subjected to moving loads [J] . Computers and Structures,2002,80 (1):1—8

KIM S M. Vibration and stability of axial loaded beams on elastic foundation under moving harmonic loads [J] . Engineering Structures,2004,26:95—105

DIMITROVOVA Z. Critical velocity of a uniformly moving load on a beam supported by a finite depth foundation [J] . Journal of Sound and Vibration,2016,366:325—342.

HUANG X M,DENG X J. Calculation method of plate on winkler foundation under transient load [J] . Journal of Southeast University,1989,19(6):55—60.(In Chinese)

SUN L,DENG X J. Dynamic analysis to infinite beam under a moving line load with uniform velocity [J] . Applied Mathematics and Mechanics,1998,19(4):341—347.(In Chinese)


  • There are currently no refbacks.